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Complex Geometry: An Introduction
Easily accessible
Includes recent developments
Assumes very little knowledge of differentiable manifolds and functional analysis
Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
321 pages, Kindle Edition
First published October 1, 2004
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July 15, 2025
It's a little coordinate-light for my taste, but the material on characteristic classes is very legible.
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